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CosIntegral






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > CosIntegral[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function > Involving exp and power





http://functions.wolfram.com/06.38.21.0016.01









  


  










Input Form





Integrate[(z^n CosIntegral[a z])/E^(I a z), z] == (1/2) (I a)^(-1 - n) (-2 CosIntegral[a z] Gamma[1 + n, I a z] + n! (ExpIntegralEi[-2 I a z] + Log[z] + 2 Sum[((I a z)^k/(2 k) - 2^(-1 - k) Gamma[k, 2 I a z])/k!, {k, 1, n}])) /; Element[n, Integers] && n >= 0










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29





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